Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 662: 120


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Work Step by Step

In the second root, we see that $x$ is raised to an even power, so it will always be positive. Thus, for the value inside root to be positive, it follows that y must be positive. This is required since it is an even root. In the first root, since $y$ must be positive, $x$ also must be positive to end up with a positive expression inside the root. This is also required, for the root is even.
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